分离变量法与 Jacobian 的几何
数学物理
2008-04-24 v1 代数几何
math.MP
可精确求解与可积系统
摘要
本综述考察了环面为 Riemann 曲面 Jacobian 的代数可积哈密顿系统的分离变量法。对于这些情形，存在一类在良好几何意义下允许分离变量的自然系统。该类包含了许多熟知的情形。
引用
@article{arxiv.math-ph/0702032,
title = {Separation of Variables and the Geometry of Jacobians},
author = {Jacques Hurtubise},
journal= {arXiv preprint arXiv:math-ph/0702032},
year = {2008}
}
备注
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/